Robert Mettin: abstract firenze

Control of chaotic maps by optimized periodic inputs

R. Mettin

Drittes Physikalisches Institut, Universität Göttingen,
Bürgerstraße 42-44, D-37073 Göttingen, Germany


It has been established that chaotic iterated maps can be transferred to a periodic motion by application of periodic signals. As a next step, we investigate the optimization of such signals with respect to a small norm. This method employs a cost function on the space of periodic inputs. By means of a direct optimization search in this space, the approach stabilizes periodicity with small forces. The results for increasing driving periods are compared.

Int. J. Bifurcation Chaos 8(8), 1707-1711 (1998).

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